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Reinforcement learning faces significant challenges when applied to tasks characterized by sparse reward structures. Although imitation learning, within the domain of supervised learning, offers faster convergence, it relies heavily on…

机器学习 · 计算机科学 2025-09-04 Zeqiang Zhang , Fabian Wurzberger , Gerrit Schmid , Sebastian Gottwald , Daniel A. Braun

We study the multi-armed bandit (MAB) problem with composite and anonymous feedback. In this model, the reward of pulling an arm spreads over a period of time (we call this period as reward interval) and the player receives partial rewards…

机器学习 · 计算机科学 2020-12-16 Siwei Wang , Haoyun Wang , Longbo Huang

In this paper, we present a reduction-based framework for conservative bandits and RL, in which our core technique is to calculate the necessary and sufficient budget obtained from running the baseline policy. For lower bounds, we improve…

In this paper, we study the stochastic combinatorial multi-armed bandit problem under semi-bandit feedback. While much work has been done on algorithms that optimize the expected reward for linear as well as some general reward functions,…

机器学习 · 计算机科学 2021-12-03 Shaarad Ayyagari , Ambedkar Dukkipati

In this paper, we consider a stochastic Model Predictive Control able to account for effects of additive stochastic disturbance with unbounded support, and requiring no restrictive assumption on either independence nor Gaussianity. We…

系统与控制 · 电气工程与系统科学 2020-03-17 Martina Mammarella , Teodoro Alamo , Sergio Lucia , Fabrizio Dabbene

While numerous works have focused on devising efficient algorithms for reinforcement learning (RL) with uniformly bounded rewards, it remains an open question whether sample or time-efficient algorithms for RL with large state-action space…

机器学习 · 计算机科学 2024-03-08 Jiayi Huang , Han Zhong , Liwei Wang , Lin F. Yang

In this paper, we consider the problem of learning safe policies for probabilistic-constrained reinforcement learning (RL). Specifically, a safe policy or controller is one that, with high probability, maintains the trajectory of the agent…

机器学习 · 计算机科学 2024-03-14 Weiqin Chen , Dharmashankar Subramanian , Santiago Paternain

This paper presents the first non-asymptotic result showing that a model-free algorithm can achieve a logarithmic cumulative regret for episodic tabular reinforcement learning if there exists a strictly positive sub-optimality gap in the…

机器学习 · 计算机科学 2021-02-24 Kunhe Yang , Lin F. Yang , Simon S. Du

We study the offline contextual bandit problem, where we aim to acquire an optimal policy using observational data. However, this data usually contains two deficiencies: (i) some variables that confound actions are not observed, and (ii)…

机器学习 · 计算机科学 2023-03-21 Siyu Chen , Yitan Wang , Zhaoran Wang , Zhuoran Yang

This paper addresses the problem of minimizing a convex, Lipschitz function $f$ over a convex, compact set $\xset$ under a stochastic bandit feedback model. In this model, the algorithm is allowed to observe noisy realizations of the…

最优化与控制 · 数学 2011-10-11 Alekh Agarwal , Dean P. Foster , Daniel Hsu , Sham M. Kakade , Alexander Rakhlin

We propose an algorithm for tabular episodic reinforcement learning with constraints. We provide a modular analysis with strong theoretical guarantees for settings with concave rewards and convex constraints, and for settings with hard…

We consider the stochastic linear (multi-armed) contextual bandit problem with the possibility of hidden simple multi-armed bandit structure in which the rewards are independent of the contextual information. Algorithms that are designed…

机器学习 · 统计学 2020-10-07 Niladri S. Chatterji , Vidya Muthukumar , Peter L. Bartlett

We investigate the optimality of perturbation based algorithms in the stochastic and adversarial multi-armed bandit problems. For the stochastic case, we provide a unified regret analysis for both sub-Weibull and bounded perturbations when…

机器学习 · 统计学 2019-12-11 Baekjin Kim , Ambuj Tewari

In this paper, the problem of maximizing a black-box function $f:\mathcal{X} \to \mathbb{R}$ is studied in the Bayesian framework with a Gaussian Process (GP) prior. In particular, a new algorithm for this problem is proposed, and high…

机器学习 · 统计学 2018-01-09 Shubhanshu Shekhar , Tara Javidi

This paper proposes tackling safety-critical stochastic Reinforcement Learning (RL) tasks with a sample-based, model-based approach. At the core of the method lies a Model Predictive Control (MPC) scheme that acts as function approximation,…

系统与控制 · 电气工程与系统科学 2025-07-30 Filippo Airaldi , Bart De Schutter , Azita Dabiri

In this paper, we consider the problem of black-box optimization using Gaussian Process (GP) bandit optimization with a small number of batches. Assuming the unknown function has a low norm in the Reproducing Kernel Hilbert Space (RKHS), we…

机器学习 · 统计学 2022-02-23 Zihan Li , Jonathan Scarlett

Motivated by models of human decision making proposed to explain commonly observed deviations from conventional expected value preferences, we formulate two stochastic multi-armed bandit problems with distorted probabilities on the reward…

机器学习 · 计算机科学 2023-11-01 Ravi Kumar Kolla , Prashanth L. A. , Aditya Gopalan , Krishna Jagannathan , Michael Fu , Steve Marcus

Cardinality-constrained optimization (CCO) is a popular topic in sparse learning and signal recovery, yet remains challenging due to the inherent nonconvexity and discontinuity of cardinality constraints. This paper investigates the exact…

最优化与控制 · 数学 2026-05-19 Lili Pan , Huilin Xie , Xianchao Xiu , Jiyuan Tao

Bandit convex optimization (BCO) is a fundamental online learning framework with partial feedback, where the learner observes only the loss incurred at the chosen decision point in each round. In this work, we investigate whether optimistic…

机器学习 · 计算机科学 2026-05-22 Shuche Wang , Adarsh Barik , Vincent Y. F. Tan

We consider stochastic multi-armed bandits where the expected reward is a unimodal function over partially ordered arms. This important class of problems has been recently investigated in (Cope 2009, Yu 2011). The set of arms is either…

机器学习 · 计算机科学 2014-05-21 Richard Combes , Alexandre Proutiere